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    Computing with Quantum Cats

    Page 26
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    Clauser, John, 165–9, 171, 172, 173, 174

      Cleve, Richard, 211–12

      Cloud, 91–2

      CNOT (Controlled NOT) gate, 215–17, 220, 225–6, 228, 240, 262–4

      coarse-grained universes, 201–2

      codes, see ciphers and codes

      Cohen, Morrel, 233

      Colossus: achievements, 41, 42–3; destruction of machines, 43–4; development, 40–1, 82, 93, 203; first electronic computer, 42, 77; Flowers’ work, 40–2, 49; production, 41–2; programming, 42; replica, 44; size, 253; Turing's work, 33, 40–3; valves, 40–1, 263

      Columbia University, 69, 100

      Commins, Gene, 164, 166–7

      Communications Supplementary Services (Washington) (CSSW), 33

      computation: act of, 125–7; reversible, 126, 127–9

      computers: conventional (classical), 2–3, 132, 203, 210, 213–15, 224; fallibility of components, 82–4; first complete and fully operational electronic digital stored-program computer, 77; first electronic computer, 42, 70, 77; first programmable electromechanical digital computer, 70; first stored-program computer, 49, 70, 76–7; languages, 50; parallel architecture, 80; quantum, see quantum computers; reversible, 128; serial architecture, 79–80; size, 253; Turing machines, 20–1, 43, 81–2, 91, 131, 196–7; Turing's early work, 18–20, 28; universal, 20, 46, 86

      Computron, 73

      Copenhagen Interpretation, 105–7; Bell's work, 158–9, 184; Bohm's work, 146, 147; comparison with hidden variables theory, 139; Einstein's view, 142, 144; Everett's work, 184, 186; influence, 145, 149; Schrödinger's view, 120–2, 138

      CPT theorem, 153

      cryptography: future of quantum computing, 265; “one time pad,” 203–4; public key, 204–5; RSA algorithm, 204–6; Shannon's work, 125; Shor's algorithm, 206–9, 210, 212, 213; Turing's work, 23–4, 33, 38–9

      D-Day, 42–3

      Dalibard, Jean, 171

      Dán, Klára (Klári), 59–60

      data storage, 91–2

      Datta, Animesh, 268, 269

      Davies, Paul, 161, 174, 192

      de Broglie, Louis: career, 135–6; Clauser's work, 165; hidden variables theory, 137–8, 144–5; 90th birthday symposium, 154; on particles and waves, 136; pilot wave idea, 137, 138, 142, 148, 149

      de Forest, Lee, 71, 72

      decoherence: problem of, 221, 222, 225, 228–9, 245, 246; times, 228, 243–4, 247–8, 261–2

      Deep Blue, 210–11

      Deep Thought, 216

      Dehmelt, Hans, 217–19, 220, 253

      Delilah project, 34, 45

      “depths,” 38

      DEUCE, 48, 50–1

      Deutsch, David: career, 190–2, 210; on fungibility, 200–1; on Grover searching, 212; influence, 134, 175; lifestyle, 189–90; on Multiverse, 4, 199, 200, 208–9; on telepathy, 232; on testing many worlds hypothesis, 192–6; work towards quantum computers, 196–7, 206; writings: The Beginning of Infinity, 193; “Quantum Theory” paper, 196

      DeWitt, Bryce, 185, 186, 191

      Difference Tabulator, 69

      Diffie, Whitfield, 204

      Dirac, Paul, 21, 105, 118

      discord, 268–9

      DiVincenzo, David, 227–9, 240, 243, 248

      Dollis Hill research station, 39, 40–1, 47

      double-slit experiment, see experiment with two holes

      Dyson, George, 87

      Eckert, John Prosper, 69, 75, 79, 81

      EDSAC (Electronic Delay Storage Automatic Calculator), 48, 50–1, 77, 90

      EDVAC, 48, 79–82, 83, 91

      Einstein, Albert: Bohm's career, 148, 149; on Bohm's work, 146; on Copenhagen Interpretation, 142; dress, 189; EPR puzzle, 142–5, 147–8, 156, 162, 186; influence, 169, 170; on light quanta, 136; on local reality, 160; Nobel Prize, 108; at Princeton, 58–9, 143–5; on “spooky action at a distance,” 138, 144, 256

      Eisenhower, Dwight D., 43

      Ekert, Artur, 209, 216, 220

      Electronic Control Company, 81

      electronics, 71–4

      electrons: cavity quantum electrodynamics, 261; development of electronics, 72–3; experiment with two holes, 107, 109–11, 121, 137, 193; interaction, 116–19; Josephson junctions, 232; manipulation, 1, 214–15, 217–18, 220, 244; particles/waves, 105–7, 136; quantum computing, 214–15, 242, 246–7; quantum dots, 242–5; quantum entities, 93–4, 104–7, 119; self-interaction, 115–16; spin, 3, 163, 176, 220, 244–6, 248–9; superposition of states, 3; trajectory, 114; valves, 71–2, 93

      English Electric Company, 48

      ENIAC, 75–9

      Enigma, 25–30, 35, 44, 203, 204

      entanglement: Commins's view, 166; de Broglie's work, 135, 138; experiments, 163; ion traps, 254–6; non-locality, 173; parallel universes, 193; photons, 259, 261, 263, 264, 265; quantum computation, 174, 201–2, 216, 239, 249, 263–5, 267; SQUIDs, 239–40; telepathy, 231; teleportation, 222, 256–7; term, 133

      entropy, 124–6

      EPR puzzle: Aspect's work 170–1; Bell's work, 156, 158–9, 171; Bohm's work, 146–7, 159; origins, 142; paper, 143–5; Shimony's work, 162–3; teleportation, 256

      error correction, 221–3

      ETH (Eidgenössische Technische Hochschule), Zurich, 55, 71

      Everett, Hugh III, 184–6, 189, 191–2, 193

      Ewald, Peter Paul, 152

      experiment with two holes (double-slit experiment), 107–10; Copenhagen Interpretation, 107, 121; de Broglie's work, 137; Deutsch's work, 201; Everett's work, 193; experiments with larger molecules, 183–4; Feynman's work, 110–13; Many Worlds Interpretation, 197–8; Schrödinger's work, 122

      exponential growth, 92–3

      Falicov, Leo, 233

      FAPP (for all practical purposes): Bell's phrase, 106; Copenhagen Interpretation, 122, 145, 149; everyday computing, 197; experiment with two holes, 110–11; fungibility, 200; Multiverse, 208; SQUID rings, 239

      Fenson, Harry, 43

      Fermi, Enrico, 86

      fermions, 176

      Ferranti Mark I computer, 49–50

      Feynman, Melville, 99–100

      Feynman, Richard: childhood, 99–100; on digital Universe, 176; education, 100–2, 106, 113–14; on electron's self-interaction, 115–17; experiment with two holes, 107–13; Fredkin relationship, 130, 132; on IBM machines, 64–5; marriage, 103; Nobel Lecture, 115–16, 119; Nobel Prize, 103, 113, 119; on physical world, 179; at Princeton, 58, 60, 102–3, 116; Principle of Least Action, 117–18; on quantum computation, 122, 132–3; on quantum computers, 1–2, 133–4; war work, 103–4, 115; writings: “The Principle of Least Action in Quantum Mechanics,” 102–3, 110, 113–20; “Simulating Physics with Computers” lecture, 132–3, 178; Surely You're Joking, Mr. Feynman?, 58, 64–5; “There's Plenty of Room at the Bottom,” 94

      fiction, 200

      Fleming, John, 71

      Flowers, Thomas, 39–41, 42, 43, 44–5, 47, 72

      Fourier analysis, 207

      Fowler, Austin, 223

      Frankel, Stanley, 64–5

      Frankfort Arsenal, Philadelphia, 103

      Fredkin, Ed, 129–30, 132

      Fredkin gate, 130–1, 215, 228

      Freedman, Stuart, 167

      Frontiers magazine, 212

      Fry, Ed, 168

      Fuechsle, Martin, 93

      fungibility, 200–1

      G15, 48

      Gakushin University, Tokyo, 109

      GC&CS (Government Code and Cipher School), 24–5, 29

      GCHQ (Government Communications Headquarters), 44, 205, 209

      General Report on Tunny, 44

      Goldstine, Adele, 76, 79

      Goldstine, Herman, 68–9, 74–7, 79–82, 85

      Grangier, Philippe, 171

      Greenbaum, Arline, 103–4

      Gregory, James, 13

      Grover, Lov, 209

      Grover's algorithm, 209–10, 211–12

      Guinness Book of Records, 225

      Hamming code, 221–2

      Hanslope Park, 34

      Hardy, G. H., 18

      Haroche, Serge, 256, 259–62

      Heath Robinson ma
    chine, 38–40, 41

      Heisenberg, Werner, 104–5, 115, 136, 140, 141, 149

      Hellman, Martin, 204

      Hensinger, Winfried, 219, 253, 254

      Herbert, Nick, 160

      Hermann, Grete, 140–2, 143, 156

      hidden variables theories: Bell's work, 137, 156–7, 161; Bohm's work, 145, 147–8, 149, 161; comparison with Copenhagen Interpretation, 139; de Broglie on, 137–8, 144–5; EPR paper, 162; Hermann's work, 140–2; Horne's work, 164; Pauli's view, 138; Shimony's work, 162, 164; von Neumann's view, 138, 139–40, 142, 145, 151

      Hilbert, David, 18, 19, 21, 22, 56

      Hiroshima bomb, 62

      Hitachi research laboratories, 109

      Hitler, Adolf, 35, 42–3, 57

      Hollenberg, Lloyd, 223

      Hollerith, Herman, 66–7, 68

      Holt, Richard, 165, 166, 167–8

      Home Guard, 31–2

      Horne, Michael, 164–6

      Houghton, Betty (née Bowden), 41–2, 44

      House Un-American Activities Committee, 148

      Hoyle, Fred, 87

      Hubble Space Telescope, 179

      Hubble Ultra-Deep Field, 179

      IBM (International Business Machines): Almaden Research Center, 223–5; computer development, 69; Difference Tabulator, 69; ENIAC, 75; Feynman's work, 103–4; Manhattan Project, 64–5; origins, 67; Physics of Information group, 227, 241; punched cards, 69, 75, 78; quantum technology, 241; von Neumann's consultancy, 81

      Imbert, Christian, 171

      infinity, 198–9

      Innsbruck, University of, 217

      input/output devices, 79

      interference: between histories, 201, 202; experiment with half-silvered mirrors, 195–6, 201; experiment with two holes, 108–9, 110, 111, 197–8, 201; of observer, 187, 192–3; parallel universes, 192–3, 196, 197–8; pilot wave, 137; quantum, 199, 201; quantum devices, 230, 235

      intuition, 88

      ion trap, 217–20, 227, 230, 252–4

      ions, 217

      Jauch, Josef-Maria, 155, 156

      Jehle, Herbert, 118

      Josephson, Brian, 230–4

      Josephson: devices, 234–5, 240; effect, 230, 233–5; junctions, 227, 232, 233

      Kasparov, Gary, 210–11

      Ketchen, Mark, 241

      King's College, Cambridge, 15, 17, 22, 24, 50

      Knill, Emanuel, 268

      Kocher, Carl, 164, 166

      Kovesi, Marietta, 57, 59

      Kürschák, Joseph, 55

      Laflamme, Raymond, 268

      Lagrangian function, 118

      Landauer, Rolf, 126, 127, 128

      Langevin, Paul, 72, 136

      Leggett, Tony, 235–9

      Lerner, Lawrence, 76

      light: direction of travel, 114–15; as wave, 178–9; see also photons

      linear optical computing, 263

      Lloyd, Seth, 178

      Los Alamos, 61–3, 78, 79, 103–4, 115, 146

      Lüders, Gerhard, 153

      Lyttleton, Raymond, 22

      McCarthy, John, 88

      McCarthy, Senator Joseph, 148

      Mach-Zehnder interferometer, 194, 195

      MacPhail, Malcolm, 24

      Madhava of Sangamagrama, 13

      magnetic tape and discs, 90

      magnetism, 250

      “majority voting” system, 83–4

      Manchester Baby, 49, 77, 91

      Manchester University, 47, 49

      Manchester University Mark I computer, 49

      Mandl, Franz, 154

      Manhattan Project, 61–5, 78, 146, 148

      Many Worlds Interpretation (MWI): Bell's work, 158, 174, 186; Deutsch's work, 191–2; Everett's work, 184, 186, 189, 191–2; Schrödinger's contribution, 189; wave function, 183

      Maryland, University of, 69, 256

      Mauchly, John, 74–5, 79, 81

      Maxwell, James Clerk, 116–17, 120

      measurement problem, 142–3, 183, 186, 187–9, 222

      Melbourne, University of, 223, 245

      memory: computer, 42, 46, 70, 79–80; quantum computer, 208, 246; RAM, 49, 73; quantum unit, 192; solid state devices, 90; storage, 93

      Merkle, Ralph, 204

      Mermin, David, 157, 158–9

      Michigan, University of, 254, 256

      Mind-Matter Unification Project, 231

      mirrors, half-silvered, 193–6, 198, 201, 255

      MIT: Feynman's career, 99, 100–2, 115, 132, 178; Fredkin's career, 130, 131; Haroche's career, 260; public key system, 204; Shannon's career, 125; Shimony's career, 162

      Monroe, Christopher, 220, 254

      Moore, Gordon, 90

      Moore School, University of Maryland, 69, 74–5, 78, 79, 80, 81

      Moore's Law, 90–1, 92, 93

      Morcom, Christopher, 14–15

      morphogenesis, 50–1

      Morse code, 26, 35

      multiplexing, 84

      Multiverse, 4, 196, 197, 199–201, 208, 223

      musical notes, computer programming, 50

      Nagasaki bomb, 63

      nanotechnology, 94

      National Defense Research Council (NDRC), 61

      National Institute of Standards and Technology (NIST), 220–1, 252

      National Physical Laboratory (NPL), 46, 48, 50

      Neddermeyer, Seth, 62

      Neumann, Michael, 54

      neutrons, 249–50

      New South Wales, University of, 245

      Newman, Max, 18, 21, 38, 40, 41, 49

      Newton's laws, 124, 125

      nitrogen-vacancy (N-V) centers, 248–9

      NMR (nuclear magnetic resonance), 224, 227, 244, 249–52, 267, 269–70

      no-cloning theorem, 222

      Nobel Prize: Anderson, 232–3; Bell's nomination, 174; de Broglie, 136; Dehmelt, 218; Einstein, 108; Feynman, 103, 113, 115, 119; Haroche, 256; Josephson, 230–2; Leggett, 235, 238; Townes, 166; Wineland, 252

      Noether, Emmy, 140

      non-locality: Aspect's work, 173; author's view, 189; Bell's work, 156, 159–60; de Broglie's work, 145; experiment with two holes, 109–10, 122; feature of the Universe, 173; Schrödinger's cat, 122

      NOT operation, 214–15

      NP-complete problems, 212–13, 214

      O'Brien, Jeremy, 263

      Official Secrets Act, 31

      Olympic Games (1948), 47–8

      Omni, 157

      Onnes, Kamerlingh, 232

      Oppenheimer, Robert, 145–6

      optical cooling, 217

      P problems, 212, 213

      Pan Jianwei, 259

      parallel worlds, 187–8, 193, 197, 198, 200

      Paris-South, University of, 171

      path integral approach, 103, 111–12, 113, 119

      Paul, Wolfgang, 219

      Pauli, Wolfgang, 138, 142, 149

      Peierls, Rudolf, 152, 153

      Penning, Frans Michel, 218

      Penrose, Oliver, 129

      Phillips, James, 233

      phosphorus atoms, 246–7

      photolithography, 219

      photons: Aspect's work, 171–2, 173; CHSH paper, 166; Clauser's work, 169; de Broglie's work, 136; detection of, 179; digitization, 176–7; discord, 269; energy of, 177; entanglement, 163, 256–7, 259; EPR experiment, 202; experiment with two holes, 108–9; Feynman's work, 118; gamma rays, 163; Horne's work, 164; ion traps, 254–5; Kocher and Commins's work, 164; Mach-Zehnder interferometer, 194–6; manipulation, 1, 93, 262; polarization of, 166, 167, 168–9, 171–2; quantum computing, 93; quantum dots, 227; quantum photonics, 262–6; spin state, 249; SQUIDs, 240–1; in superposition, 261–2; teleportation, 256–9, 263; trapped, 260–1

      Physical Review, 148, 149

      Physical Review Letters, 167

      Physics, 161

      Physics Letters, 234

      Physics Today, 233

      Pilot Ace, 48

      pilot wave, 137–8, 142, 148, 149, 154

      Pipkin, Frank, 165

      Planck, Max, 177

      Planck length, 177

      Planck's constant, 177

      Podolsky, Boris, 143, 146


      Post Office, 39, 45

      Princeton Institute for Advanced Study (PIAS): computer development, 83; Einstein's career, 58–9, 143; foundation, 57–8, 68; Turing's career, 24; von Neumann's career, 57, 59, 60, 68, 81, 83

      Princeton University: Bohm's career, 146, 148–9; Everett's career, 185, 192; Feynman's career, 102–3, 116; Office of Population Research, 60; Proctor Fellowships, 21–2; quantum dots, 242, 245; Shimony's career, 162; Turing's career, 18, 21–4, 34; Veblen's career, 68; von Neumann's career, 56–7, 79, 84

      probability: Copenhagen Interpretation, 106–7, 139; EPR paper on, 144; experiment with half-silvered mirrors, 195, 198, 201; experiment with two holes, 110–12, 198, 201; Feynman on, 118, 132; in fungible universes, 201; in parallel universes, 200; quantum computation, 215, 223, 241, 262–3; Schrödinger on, 188; von Neumann on, 85

      protons, 249–50

      Pryce, Maurice, 15

      punched cards, 64, 65–9, 78, 90

      quantization, 176–7

      quantum codes, 213, 222

      quantum computation: Bell's inequality, 133; Bell's theorem, 174; CNOT gate, 215, 216–17, 220–1, 262; codebreaking, 203; Deutsch's work, 175, 190; entanglement, 138, 174; error correction, 223; gateway to, 122–8; hidden variables theory, 138; limits of, 210–14; manipulating quantum entities in two states at the same time, 1; Multiverse, 200; NMR, 249–52; problems, 222; QIP, 262; quantum reality, 121–2

      quantum computers: already built, 223–5, 267–8; chess-playing, 211; codebreaking, 1, 205–6, 209, 213, 266; computing power, 4, 214; Deutsch's work, 192–3, 196–7, 200–2, 206, 208; development of, 173; Feynman's work, 133–4; future of, 225, 226, 241, 245, 252–3; Grover's algorithm, 209–10, 211; key criteria, 227–30, 240; limitations, 203, 210–14; logic gates, 214–16, 226; Multiverse and, 200–2, 208; non-locality, 110; nuclear spin, 246, 247; problems in building, 201, 202, 212, 214; quantum dots, 242–3; quantum photonics, 263–6; quantum switches, 3, 216; qubits, 3–4, 202, 222–3, 226; RSA algorithm, 205–6; Shor's algorithm, 206–8, 223; simulation, 132, 178, 179–80, 196–7, 210; size, 253; SQUIDs, 230, 239–40; teleportation, 258, 263; trapped ion technique, 219–20, 253–4, 263; uses of, 1–2

      quantum discord, 268, 269

      quantum dots, 227, 242–5

      quantum electrodynamics (QED), 119

      quantum entities, 1, 93–4, 104, 119, 222

      quantum gravity, 191

      Quantum Information Processing (QIP), 262

      quantum interference, 199, 201

      quantum leap, 218

      quantum mechanics, 93–5, 105–7

      quantum memory unit, 192

      quantum photonics, 262–6

      quantum physics, 104, 106, 118

      quantum simulators, 132

     


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